# Parameters of the Earth's tri-axial level ellipsoid

@article{Bura1993ParametersOT, title={Parameters of the Earth's tri-axial level ellipsoid}, author={Milan Burṥa and Vladim{\'i}ra Fialov{\'a}}, journal={Studia Geophysica et Geodaetica}, year={1993}, volume={37}, pages={1-13} }

SummaryFour parameters defining the Earth's tri-axial ellipsoid (E) have been derived on the basis of the condition that the gravity potential on E be constant and equal to the actual geopotential value (W0) on the geoid. The geocentric gravitational constant, the angular velocity of the Earth's rotation, the actual 2nd degree geopotential Stokes parameters and W0 are taken to be the primary geodetic constants defining E and its (normal) gravity field.

## 12 Citations

Determination of the parameters of the triaxial earth ellipsoid as derived from present-day geospatial techniques

- GeologyGPS Solutions
- 2020

This investigation implements a least-squares methodology to fit a triaxial ellipsoid to a set of three-dimensional Cartesian coordinates obtained from present-day geospatial techniques,…

Cartesian to geodetic coordinates conversion on a triaxial ellipsoid

- GeologyJournal of Geodesy
- 2011

A new method of transforming Cartesian to geodetic (or planetographic) coordinates on a triaxial ellipsoid is presented. The method is based on simple reasoning coming from essentials of vector…

Fitting a triaxial ellipsoid to a geoid model

- Mathematics, GeologyJournal of Geodetic Science
- 2020

Abstract The aim of this work is the determination of the parameters of Earth’s triaxiality through a geometric fitting of a triaxial ellipsoid to a set of given points in space, as they are derived…

Triaxial level ellipsoids representing synchronously orbiting satellites

- Physics
- 1994

SummaryThe theory of determination of figures of synchronously orbiting satellites is presented based on equipotential level ellipsoids representing the given external equipotential surfaces. The…

Two modified algorithms to transform Cartesian to geodetic coordinates on a triaxial ellipsoid

- GeologyStudia Geophysica et Geodaetica
- 2012

The paper presents modified Lin and Wang’s (1995) and Hedgley’s (1976) algorithms to tackle the problem of transforming Cartesian to geodetic coordinates on a triaxial ellipsoid. Originally, the…

The gravity field due to a homogeneous triaxial ellipsoid in generalized coordinates

- Geology, MathematicsStudia Geophysica et Geodaetica
- 2014

The exterior gravity potential and its derivative induced by a homogeneous triaxial ellipsoid are presented in generalized coordinates. The variant of the ellipsoidal coordinates, which is used in…

The size, shape and orientation of the asteroid Vesta based on data from the Dawn mission

- Physics, Geology
- 2017

Testing geopotential models

- Environmental Science
- 1994

The actual accuracy of the geopotential value on the geoid computed from satellite altimetry recently asW0 = (62 636 857.5 ± 1.0) m2 s−2 makes it possible to adopt this quantity as geopotential…

Global tidal parameters

- Physics
- 1994

SummaryGlobal tidal parameters are shown to have recently increased in accuracy, after more than twenty years of LLR and a decade of superconducting gravimetry, whereas the numerical values for the…

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